Answer:
800 meters
Step-by-step explanation:
y is inversely proportional to x is the same as y is inversely proportional to [tex]\frac{1}{x},[/tex] that means
[tex]y=\dfrac{k}{x}.[/tex]
If a wave with a frequency of x=720 kilohertz has a length of y=500 meters, then
[tex]500=\dfrac{k}{720}\\ \\k=500\cdot 720=360000.[/tex]
Hence, the length of a wave y with a frequency of x=450 kilohertz is
[tex]y=\dfrac{360000}{450}=800[/tex]
The relationship between the frequency and wavelength of a wave is given by the formula:
\[ c = f \times \lambda \]
where:
- \( c \) is the speed of light (or the speed of the wave in another medium, but for radio waves in the air or vacuum, it's approximately the speed of light),
- \( f \) is the frequency of the wave,
- \( \lambda \) is the wavelength of the wave.
Given that the relationship is inverse, when the frequency goes up, the wavelength goes down, and vice versa.
We are given that a wave with frequency 720 kilohertz has a length of 500 meters. We can represent this with the equation:
\[ c = 720 \times 500 \]
We are asked to find the wavelength when the frequency is 450 kilohertz. Since the speed of light doesn't change, we set up the proportion using the formula, keeping \( c \) constant:
\[ 720 \times 500 = 450 \times \lambda_{\text{new}} \]
Now we solve for \( \lambda_{\text{new}} \):
\[ \lambda_{\text{new}} = \frac{720 \times 500}{450} \]
To simplify this, we can divide both the numerator and the denominator by a common factor. In this case, let's divide by 90:
\[ 720 \div 90 = 8 \]
\[ 450 \div 90 = 5 \]
\[ 500 \text{ remains unchanged} \]
Now we can substitute these simplified numbers back into our equation:
\[ \lambda_{\text{new}} = \frac{8 \times 500}{5} \]
\[ \lambda_{\text{new}} = \frac{4000}{5} \]
\[ \lambda_{\text{new}} = 800 \]
So the length of a wave with a frequency of 450 kilohertz is 800 meters.
If x−y=3 and x+y=5, what is the value of y?
Answer: the value of y is 1. If needed, the value of x is 4.
Step-by-step explanation:
See paper attached. (: I went ahead and solved for x too, just in case.
A merchant wants to blend 80 pounds of cacao worth $9.00 a pound from two kinds: one at $11.40 a pound and the other at $7.80 a pound. How many pounds of each kind should he mix?
answer-
he should mix 16lbs of the 7.80 mix and 8lbs of the 11.40 mix
Step-by-step explanation:
hope this helps:) btw im a student at rsm and i got this for homework so ya. your welcome also, ik the answers wrong ...s i g h...
Answer:
The merchant should mix 53.33 pounds of cheaper cacao and 26.67 pounds of costlier cacao.
Step-by-step explanation:
A merchant wants to blend 80 pounds of cacao worth $9.00 a pound from two kinds: one at $11.40 a pound and the other at $7.80 a pound.
Let the number of pounds of cheaper cacao be x
Let the number of pounds of costlier cacao be y
The merchant wants total pounds = 80
So, first equation becomes:
[tex]x+y=80[/tex] or [tex]x=80-y[/tex]
Now values of per pounds become [tex]7.80x[/tex] and [tex]11.40y[/tex]
As the merchant wants the mixture worth $9 so second equation becomes:
[tex]7.80x+11.40y=9(80)[/tex]
=> [tex]7.80x+11.40y=720[/tex]
Substituting [tex]x=80-y[/tex] in second equation, we get
[tex]7.80(80-y)+11.40y=720[/tex]
=> [tex]624-7.80y+11.40y=720[/tex]
=> [tex]3.60y=96[/tex]
[tex]y=26.67[/tex] pounds
We know, [tex]x=80-y[/tex]
=> [tex]x=53.33[/tex] pounds
So, The merchant should mix 53.33 pounds of cheaper cacao and 26.67 pounds of costlier cacao.
We can check this:
[tex]53.33(7.80)+26.67(11.40)=720.012[/tex] dollars
What is the area of a circle if its circumference is 22n?
The answer is: Area 38.5
2. The price for pears is y = 2.75x. Which line would have the steepest slope if organic apples and
pears were added to the graph?
A.)organic apples
B.)pears
C.)regular apples
D.)We need more information to answer this question.
Answer:
Answer D
Step-by-step explanation:
We'd need more information to answer this question, namely, the unit price for organic apples. Without this info there is nothing to compare. Answer D
Steepness of a line is measured by its slope. For the considered case: Option D: We need more information to answer this question.
What is the slope of a straight line?A straight line of the form [tex]y = mx + c[/tex] has its slope as 'm'
It is constant for a line. The more the slope is, the steeper the line is.
Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have negative slope. Horizontal line has 0 slope and vertical line has infinite slope, as it is now at maximum steepness.
For the given case, we're not given the price of organic apples. If we assume that the price of organic apples is given by [tex]y = Ax[/tex] [tex]y = Px[/tex]
Then, if A > 2.75, then graph of organic apples is steeper, else if A < 2.75, then the graph of pears is steeper.
Otherwise, if A = 2.75 (which means price of pears = price of organic appples), then both are of same steepness.
Since we don't know A's value here, thus:
For the considered case: Option D: We need more information to answer this question.
Learn more about slope of a straight line here:
https://brainly.com/question/2503591
Use the Distributive Property to solve:
12(2 + 1)
Question 4 options:
a 36
b 24
c 25
d 30
Answer:
a:36
Step-by-step explanation: because (2+1) is in parentheses, you solve that first. 2+1=3 and 3x12=36
hope this helps!
Answer:
36
Step-by-step explanation:
This is beause 2+1 is 3 and 3 muliplied by 12 is 36 which is A
.
A ball is thrown into the air with an initial velocity of 80 ft/sec. The height of the ball after t seconds in the air is given by h(t) =-16t^2 + 80t + 96.How long will it take for the ball land on the ground? (When will the height equal 0?)
Answer:
[tex]t= 6\ s[/tex]
Step-by-step explanation:
We know that the equation that models the height of the ball as a function of time is [tex]h(t) = -16t ^ 2 + 80t + 96[/tex].
Where the initial speed is 80 feet.
When the ball lands on the ground, its height will be [tex]h(t) = 0[/tex].
So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.
[tex]-16t ^ 2 + 80t + 96 = 0[/tex]
To solve this quadratic equation we use the quadratic formula.
For an equation of the form:
[tex]at^2 +bt +c[/tex]
The quadratic formula is:
[tex]t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}[/tex]
In this case
[tex]a =-16\\b = 80\\c =96[/tex]
Then
[tex]t=\frac{-80\±\sqrt{80^2 -4(-16)(96)}}{2(-16)}[/tex]
[tex]t_1=-1\\\\t_2=6[/tex]
We take the positive solution
[tex]t= 6\ s[/tex]
Answer:
After 5 seconds
Step-by-step explanation:
Have a great day
Which statements are true for the functions g(x) = x2 and h(x) = -x2? Check all that apply.
ANSWER
See below
EXPLANATION
The given functions are:
[tex]g(x) = {x}^{2} [/tex]
and
[tex]h(x) = - {x}^{2} [/tex]
The following statements are true;
h(x) is the reflection of g(x) in the x-axis.
g(x) opens upwards while h(x) opens downwards
Both functions have their vertex and intercepts at the origin.
The x-axis is a tangent to both functions at x=0.
g(x) has a minimum point
h(x) has a maximum point.
Answer:
For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1. TRUE
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x). TRUE
For negative values of x, g(x) > h(x). TRUE
Step-by-step explanation:
answer on edge
A factory makes sheet metal. If each sheet is 3/16 inch thick, how tall is the stack if there are 14 sheets?
It should be 44ft high
For this case we have that the height of the stack of sheets is given by the number of sheets multiplied by the thickness of each. That is to say:
[tex]\frac {3} {16} * 14 = \frac {14 * 3} {16} = \frac {42} {16} = \frac {21} {8} = 2.625[/tex]
Thus, the height of the stack is 2,625 inches
Answer:
2.625 inches
MP.2 Reasoning
A farmer wants to build a straight fence with a post every 7 feet.
Each end has a post. For a fence that is 49 feet long, how many
posts will the farmer need?
1. Describe the quantities given.
2. Tell how you can show the relationships in the problem.
3. Solve and explain your reasoning.
Answer:
8 posts.
Step-by-step explanation:
There are 7 lengths of 7 feet in 49 feet.
That is 7 posts but there is a post at each end so the number required = 7 + 1 = 8 posts.
Find the inverse of the function. f(x) = {(3, 4), (4, 3), (-2, 6)}
Answer:
f^-1(x) = {4,3), (3,4), (6,-2)}
Step-by-step explanation:
To find the inverse of the function, exchange the x and the y
f(x) = {(3, 4), (4, 3), (-2, 6)}
f^-1(x) = {4,3), (3,4), (6,-2)}
The bases of a trapezoid are 16.8 yards and 6.9 yards. If the height is 2 yards, what is the area of the trapezoid?
a- 9.9 yd2
b- 19.8 yd2
c- 23.7 yd2
d- 47.4 yd2
Answer: option c
Step-by-step explanation:
You need to use this formula:
[tex]A=\frac{h}{2}(B+b)[/tex]
Where "h" is the height of the trapezoid, "B" is the larger base and "b" is the smaller base.
You know that:
[tex]B=16.8yd\\b=6.9yd\\h=2yd[/tex]
Then you need to substitute these values into the formula [tex]A=\frac{h}{2}(B+b)[/tex].
Therefore, the area of this trapezoid is:
[tex]A=\frac{2yd}{2}(16.8yd+6.9yd)[/tex]
[tex]A=23.7yd^2[/tex]
Answer:
23.7 yd2
Step-by-step explanation:
What is the length of a sticky note
Answer:
3x3 in.
Why did you need to know that?
Well, anyway...hope it helped anyway...
Step-by-step explanation:
A recipe to make 4 pancakes calls for 6 tablespoons of flour. Tracy wants to make 10 pancakes using this recipe. What equation will she need to use to find out how many tablespoons of flour to use
She would be multiplying. If you send me the answers I can give you a better explained answer?
Evaluate the expression for x=4 and y=5 6(x2-y)-y2
Answer:
Step-by-step explanation:
6(4*2-5)-5(2)
= 6(8-5)-10
= 6(3)-10
= 18-10
= 8
Find the distance between (-3, 0) and (2, 7). Round to the nearest hundredth.
17. The distance between (2, 1) and (n, 4) is 5 units. Find all possible values of n.
Answer: I can help you with the first one.
Step-by-step explanation:
First, here is the formula D=(x2-x1)2+ (y2-y1)2 so you would plug the numbers in and get D= (0-(-3))^2)+(7-2)^2 now you would solve that and get 34 now you find the square root of 34 is the answer is 5.8
Hope that helps
YO DOWGS HELP ME!!!!!!!!!
recall that an absolute value expression is in effect a piece-wise with a ± version.
[tex]\bf |x-1| > 2\implies \begin{cases} +(x-1)>2\implies x-1>2\\\\ ~\hfill x>3\\ \cline{1-1} -(x-1)>2\implies x-1\stackrel{\downarrow }{<}-2\\\\ ~\hfill x<-1 \end{cases}[/tex]
Check the picture below.
Answer:
|x - 1| > 2Step-by-step explanation:
[tex]x< -1\ or\ x>3\\\\\dfrac{-1+3}{2}=\dfrac{2}{2}=1\\\\x<-1\ or\ x>3\qquad\text{subtract 1 from all sides}\\\\x-1<-2\ or\ x-1>2\to|x-1|>2[/tex]
Why do althletes stretch before a game
Answer:
so they dont get cramps or chairly horses
Step-by-step explanation:
Answer:
Here's the reasons why it's important to stretch before and after a workout. When it comes to pre-workout stretching, stretching before a workout helps your body to become more pliable, which decreases your risk for injury. ... The main muscles groups used during the session are the ones that need to stretch. And sometimes for example middle splits you might need to repair your hips to fake one because you didn't stretch to open the muscles up first not force them
Step-by-step explanation:
I hope you understood it. Good Luck
Please mark me brainliest please!!
Please help I'm stuck on this :(
Answer:
See the picture below for the graph.
To solve the given system of equations, we have to find the intersecting point of the two lines.
As shown in the picture below, the intersecting point is (3, -1).
Therefore, x = 3 and y = -1.
Answer:
Step-by-step explanation:
y = -x + 2
2x - y = 7
I think you would benefit from graphing these equations yourself and then identifying the coordinates of their intersection. To help you get started out:
Line 1: Here the slope is -1 and the y-intercept is 2. Plot a dark dot at (0, 2). Now, starting with your pencil point on that dot, move 1 unit to the right and from this new location move 1 unit down. Plot another dark dot there. Now draw a line through these two dots.
Line 2: 2x - y = 7 when solved for y is y = 2x - 7, which has a slope of 2 and y-intercept of -7. Plot a dot at (0, -7). From that point, move 1 unit to the right and from this new location move 7 units down. Plot another dot there. Draw a line thru these two dots.
Identify the coordinates of the point of intersection of these two lines. For your reference I will find the solution using elimination by addition and subtraction. Rewrite 2x - y = 7 as y = 2x - 7:
y = 2x - 7
y = -x +2
-------------- SUBTRACT the second equation from the first, obtaining:
0 = 3x - 9. Then 3x = 9 and x = 3. Subbing 3 for x in y = 2x - 7, we get y = 2(3) - 7, or y = -1.
The two lines intersect at the point (3, -1).
The____ of a substance is a measure of how much mass a given volume will have
Density should be the answer
Answer:
Density
Step-by-step explanation:
Density is the mass of a substance per unit volume. Volume is the amount of space an object occupies.
7. The bottom of a circular swimming pool
with a diameter of 36 feet is painted blue.
How many square feet are blue?
The answer is:
1017.88 square feet are blue.
Why?To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.
We need to remember that we can calculate the area of any circle using the following formula:
[tex]Area_{circle}=\pi radius^{2}[/tex]
Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:
[tex]diameter=2radius\\\\radius=\frac{diameter}{2}[/tex]
So,
[tex]radius=\frac{36feet}{2}=18feet[/tex]
Then, calculating the area we have:
[tex]Area_{bottom}=\pi radius^{2}=\pi 18ft^{2}=1017.88ft^{2}[/tex]
Hence, we have that 1017.88 square feet are blue.
Have a nice day!
NEED HELP ASAP PLEASE I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What makes something a classic in the world of music? If you google classical music, it’ll tell you it’s a really specific period in music history from about 1750-1820, but that’s not what I mean. I mean what makes something a “classic” work, piece, album, song, symphony, etc. in music. To some people it’s something that’s been around for a long time, and is still recognized as great and/or relevant. Others might think something can be a sort of instant classic if it shows enough worth right off the bat.
In paragraph form describe what you think makes something a classic, you should give at least 3 characteristics. You should also say whether or not you think your definition of a classic differs from the norm.
I'm not going to give you the answer but I'll help you.
Step-by-step explanation:
Start by writing down your thoughts down and then form them into a paragraph.
- Write down your opinion of what classic is
- Give 3 traits/characteristics that makes that thing classic (high-quality, timeless, aged, eternal, original etc.)
- Then write down whether or not you think your definition of classic is different from the googled definition
If you need more help let me know!How to solve 1/3(12-9y) step by step
How to solve 1/4(-16x+8) step by step both are separate questions
Answer:
4-3y and 2−4x
Step-by-step explanation:
Use the distributive property to multiply 1/3 by 12−9y.
1/3⋅12+1/3 (−9)y
Multiply 1/3 and 12 to get 12/3.
12/3+1/3 (−9)y
Divide 12 by 3 to get 4.
4+1/3 (−9)y
Multiply 1/3 and −9 to get (−9)/3.
4+(−9)/3 y
Divide −9 by 3 to get −3.
4−3y
Use the distributive property to multiply 1/4 by −16x+8.
1/4 (−16)x+1/4⋅8
Multiply 1/4 and −16 to get (−16)/4.
(−16)/4 x+1/4⋅8
Divide −16 by 4 to get −4.
−4x+1/4⋅8
Multiply 1/4 and 8 to get 8/4.
−4x+8/4
Divide 8 by 4 to get 2.
−4x+2
The expressions 1/3(12-9y) and 1/4(-16x+8) are simplified by distributing the fractions over each term inside the parentheses, resulting in the simplified forms 4 - 3y and -4x + 2, respectively.
Explanation:To solve the two separate algebraic expressions given, we'll perform operations step by step.
Solution for 1/3(12-9y):
Solution for 1/4(-16x+8):
Note that these are not equations with equals signs, so we cannot 'solve for y or x' in the traditional sense; we merely simplified the expressions.
The equation of a line is y=-3x - 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2
D, because everything in front of the x is the slope and everything after the x is the y- intercept
Answer:
The correct answer is (D) slope=-3 and y-intercept=-2
Step-by-step explanation:
Complete the square
x2 - 6x +____
7 = -13+____
Answer:
see explanation
Step-by-step explanation:
Given
x² - 6x + 7 = - 13
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + (- 3)² + 7 = - 13 + (- 3)²
x² - 6x + 9 + 7 = - 13 + 9
(x - 3)² + 7 = - 4
Answer:
x^2 - 6x+ __9__= -13 + __9__
Step-by-step explanation:
e2020
Which statement would best describe the graph of the function
Answer:
A; The graph has a slope of 6.
Step-by-step explanation:
A; True
B; The y value changes with the x
C; Has a steady slope of 6
D; You cant tell if this is a parabola
Answer:
The graph is a straight line that has a slope of 6.Step-by-step explanation:
Remember that the slope represents the constant ratio of variation. In other words, is the number that variates the relation between variable.
So, the given table represents a proportional relationship, because you can observe that x-variable changes one unit, while y-variable changes 6 units. In other words, while y-variable changes 6 units, x-variable changes 1 unit, that's a proportional relationship, and its ratio is
[tex]m=\frac{y}{x}=\frac{6}{1}=6[/tex]
This means the proportional relationship has a slope of 6.
Therefore, the right answer is the first choice.
Remember that proportional relationships are represented by a straight line, where the slope is the constant of variation.
With the process and explanation in details
Answer:
13
Step-by-step explanation:
the quadratic formula will be used to solve the equation x²-3x-1=0
x = -b±√b²-4ac
2a
b= -3, a= 1, c= -1
x = --3±√3²-4*1*-1
2*1
x = 3±√9+4
2
x = 3±√13
2
x₁ = 3 + √13
2
x₂ = 3 - √13
2
x₁² + x₂² - 2x₁x₂
22 + 6√13 + 22 - 6√13 + 2
4 4
22 + 6√13 + 22 - 6√13 + 8 = 52/4 =13
4
-5x-3y=22 help plz
Answer:
(-2, -4)Step-by-step explanation:
Put the coordinates of the points to the equation, and check it:
(-4, -1) → x= -4, y = -1
L = -5(-4) - 3(-1) =20 + 3 = 23
R = 22
L ≠ R
(-1, -4) → x= -1, y = -4
L = -5(-1) - 3(-4) = 5 + 12 = 17
R = 22
L ≠ R
(-2, -4) → x= -2, y = -4
L = -5(-2) - 3(-4) = 10 + 12 = 22
R = 22
L = R CORRECT :)
(-4, -2) → x = -4, y = -2
L = -5(-4) - 3(-2) = 20 + 6 = 26
R = 22
L ≠ R
This is due in 15 minutes help
All 3 answers!!!
Answer:
Part 1) The measure of the exterior angle is 128°
Part 2) The measure of angle x is 30°
part 3) The value of x is 25 units
Step-by-step explanation:
Part 1)
step 1
Find the measure of the third internal angle of the triangle
Remember that the sum of the internal angles of a triangle must be equal to 180 degrees
Let
c----> the measure of the third internal angle
42+(9x-4)°+c°=180°
c=180°-42°-9x+4°
c=142°-9x
step 2
Find the value of x
we know that
c+(12x+8)°=180° ----> by supplementary angles
substitute
142°-9x+(12x+8)°=180°
3x=30°
x=10°
step 3
Find the measure of the exterior angle
(12x+8)°=(12(10)+8)°=128°
Part 2) Find the value of x
The figure show a equilateral triangle ( has three equal internal angles and three equal sides) and an isosceles triangle ( has two equal internal angles and two equal sides)
Remember that
The internal angles of a equilateral triangle is 60 degrees
so
The vertex angle of the isosceles triangle is equal to
180°-60°=120° ----> by supplementary angles
therefore
The base angle of the isosceles triangle is equal to
2x+120°=180°
2x=60°
x=30°
Part 3) we know that
if AB is a midsegment
then
(4x-10)/2=45
solve for x
4x-10=90
4x=100
x=25 units
what is the solution to this set of equations? show your work.
y=5x-9
y=x^2-3x+7
Answer:
MsEHolt Brainly Teacher
The y-coordinate of the solution is 11.
Both equations have y isolated. We will use substitution for this system:
5x-9=x²-3x+7
We want to gather all of the variables on one side, so we will subtract 5x from each side:
5x-9-5x=x²-3x+7-5x
-9=x²-8x+7
We want the equation to be equal to 0 to solve it, so we will add 9 to both sides:
-9+9=x²-8x+7+9
0=x²-8x+16
This is easy to factor; factors of 16 that sum to -8 are -4 and -4:
0=(x-4)(x-4)
Since these are the same factor, we solve it to get our answer:
x-4=0
x-4+4=0+4
x=4
Substitute this into the first, linear, equation:
y=5(4)-9=20-9=11
Read more on Brainly.com - https://brainly.com/question/9222432#readmore
Step-by-step explanation:
i copied and psted by the way its a forum
Answer:
(4, 11)
Step-by-step explanation:
Given the 2 equations
y = 5x - 9 → (1)
y = x² - 3x + 7 → (2)
Substitute y = x² - 3x + 7 into (1)
x² - 3x + 7 = 5x - 9 ( subtract 5x - 9 from both sides )
x² - 8x + 16 = 0 ← in standard form
(x - 4)² = 0 ← in factored form
x - 4 = 0 ⇒ x = 4
Substitute x = 4 into (1) for corresponding value of y
y = (5 × 4) - 9 = 20 - 9 = 11
Solution is (4, 11)
Look below at the image provided.
That would be angle 2. It is on the opposite of angle 7 and it is inside the two parallel lines
Hope this helped!
~Just a girl in love with Shawn Mendes